The Dixmier-Douady class in the Simplicial de Rham Complex
arXiv:1206.4460
Abstract
On the basis of A. L. Carey, D. Crowley, M. K. Murray's work, we exhibit a cocycle in the simplicial de Rham complex which represents the Dixmier-Douady class.
9 pages; Differential Geometry. The author apologizes that there are some inaccurate description in this paper. Corrected description is given in "On some cocycles which represent the Dixmier-Douady class in simplicial de Rham complexes"